DFT Linearity

Explore the linearity property of the Fourier transform.

Linearity implies that the DFT of the sum of input signals is the sum of the DFTs of the individual input signals. Let’s find out how.

Derivation

Assume that two input signals x1[n]x_1[n] and x2[n]x_2[n] have DFTs given by X1[k]X_1[k] ...

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